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math.AG2025
Bases of associated Galois modules in general wildly ramified extensions and in elementary abelian extensions of degree
Mikhail V. Bondarko, Kirill S. Ladny, Konstantin I. Pimenov
For a wildly ramified extension of complete discrete valuation fields we study collections of elements of (where ) that fit well for constructing bases of…
math.AG2025
Some general étale Weak Lefschetz-type theorems
Sergei I. Arkhipov, Mikhail V. Bondarko
We establish new general etale versions of theorems of Barth and Sommese. Respectively, we compute the lower etale cohomology of closed subvarieties of of small codimensions…